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Finding the Fourth Proportional to 687.88, 949.08 and 513.28

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Solution

The fourth proportional to 687.88, 949.08 and 513.28 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 949.08 = 513.28 : x
  2. Step 2: Convert to fraction form
    687.88/949.08 = 513.28/x
  3. Step 3: Cross multiply
    687.88x = 949.08 × 513.28
  4. Step 4: Simplify right side
    687.88x = 487,143.78
  5. Step 5: Solve for x
    x = 487,143.78/687.88
  6. Step 6: Final answer
    x = 708.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.